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Recent questions tagged nielit-2018

2 votes
1 answer
4
NIELIT 2018-4
Candid is to indirect as honest is to frank wicked truthful untruthful
Candid is to indirect as honest is tofrankwickedtruthfuluntruthful
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2 votes
2 answers
5
NIELIT 2018-5
Suppose a fraud shopkeeper sells rice to the customer at the cost price, but he uses a false weight of $900$ gm for a kg then his percentage gain is ______ $5.75 \%$ $5.56 \%$ $5.20 \%$ $5.00 \%$
Suppose a fraud shopkeeper sells rice to the customer at the cost price, but he uses a false weight of $900$ gm for a kg then his percentage gain is ______$5.75 \%$$5.56 ...
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2 votes
1 answer
7
NIELIT 2018-7
Here are some words translated from any Language. dionot means oak tree blyonot means oak leaf blycrin means maple leaf Which word could mean “maple syrup”? blymuth hupponot patricin crinweel
Here are some words translated from any Language.dionot means oak treeblyonot means oak leafblycrin means maple leafWhich word could mean “maple syrup”?blymuthhuppono...
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1 votes
2 answers
8
NIELIT 2018-8
Let us consider the length of the side of a square represented by $2y+3$. The length of the side of an equilateral triangle is $4y$. If the square and the equilateral triangle have equal perimeter, then what is the value of $y$? $3$ $4$ $6$ $8$
Let us consider the length of the side of a square represented by $2y+3$. The length of the side of an equilateral triangle is $4y$. If the square and the equilateral tri...
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2 votes
1 answer
9
NIELIT 2018-9
Look at this series: $25, 25, 37, 37, \dots , 51, ….$. What number should fill the blank? $51$ $39$ $23$ $25$
Look at this series: $25, 25, 37, 37, \dots , 51, ….$. What number should fill the blank?$51$$39$$23$$25$
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1 votes
1 answer
10
NIELIT 2018-10
Look at this sequence $SCD\;\; TEF\;\; UGH \_\_\_\_WKL,$ and find the missing sequence. $CMN$ $UJI$ $VIJ$ $IJT$
Look at this sequence $SCD\;\; TEF\;\; UGH \_\_\_\_WKL,$ and find the missing sequence.$CMN$$UJI$$VIJ$$IJT$
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1 votes
1 answer
11
NIELIT 2018-11
Look at this series: $5000, 1001, 201, 41, \dots$ What number should come next? $9$ $10$ $11$ $42$
Look at this series: $5000, 1001, 201, 41, \dots$ What number should come next?$9$$10$$11$$42$
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2 votes
1 answer
12
NIELIT 2018-12
If finch related to bird (i.e.,) FINCH : BIRD. Then, find the pair that has a similar relationship. frog : toad elephant : reptile dalmatian : dog collie : marsupial
If finch related to bird (i.e.,) FINCH : BIRD. Then, find the pair that has a similar relationship.frog : toadelephant : reptiledalmatian : dogcollie : marsupial
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2 votes
1 answer
13
NIELIT 2018-13
Which word does NOT belong with the others? wing fin beak rudder
Which word does NOT belong with the others?wingfinbeakrudder
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2 votes
1 answer
15
NIELIT 2018-15
The value of $\int_1^2 \int_0^{x^2} x \: dy \: dx$ is: $\frac{15}{4}$ $\frac{5}{4}$ $\frac{3}{4}$ $\frac{2}{3}$
The value of $\int_1^2 \int_0^{x^2} x \: dy \: dx$ is:$\frac{15}{4}$$\frac{5}{4}$$\frac{3}{4}$$\frac{2}{3}$
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1 votes
0 answers
16
NIELIT 2018-16
The value of $\int_c \frac{2x^2-5}{(x+2)^2 (x^2+4)x^2}dx$, (where $c$ is the square with vertices $1+i, 2+i, 2+2i, i+2i$) is: $0$ $\pi i$ $2 \pi i$ $4 \pi i$
The value of $\int_c \frac{2x^2-5}{(x+2)^2 (x^2+4)x^2}dx$, (where $c$ is the square with vertices $1+i, 2+i, 2+2i, i+2i$) is:$0$$\pi i$$2 \pi i$$4 \pi i$
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3 votes
3 answers
17
NIELIT 2018-17
If $2a+3b+c=0$, then at least one root of the equation $ax^2+bx+c=0$, lies in the interval: $(0,1)$ $(1,2)$ $(2,3)$ $(1,3)$
If $2a+3b+c=0$, then at least one root of the equation $ax^2+bx+c=0$, lies in the interval:$(0,1)$$(1,2)$$(2,3)$$(1,3)$
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1 votes
1 answer
18
NIELIT 2018-18
If $y^a$ is an integrating factor of the differential equation $2xydx-(3x^2-y^2)dy=0$, then the value of $a$ is $-4$ $4$ $-1$ $1$
If $y^a$ is an integrating factor of the differential equation $2xydx-(3x^2-y^2)dy=0$, then the value of $a$ is$-4$$4$$-1$$1$
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1 votes
0 answers
19
NIELIT 2018-19
If $u=f(y-z, \: \: z-x, \: \: x-y)$, then $\frac{ \partial u}{ \partial x} + \frac{ \partial u}{ \partial y} + \frac{ \partial u}{ \partial z} $ is equal to: $x+y+z$ $1+x+y+z$ $1$ $0$
If $u=f(y-z, \: \: z-x, \: \: x-y)$, then $\frac{ \partial u}{ \partial x} + \frac{ \partial u}{ \partial y} + \frac{ \partial u}{ \partial z} $ is equal to:$x+y+z$$1+x+...
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1 votes
0 answers
20
NIELIT 2018-20
The general solution of the differential equation $\frac{dy}{dx} = (1+y^2)(e^{-x^2}-2x \tan^{-1} y)$ is: $e^{x^2} \tan^{-1} y = x+c$ $e^{-x^2} \tan^y = x+c$ $e^x \tan y = x^2+c$ $e^{-x} \tan^{-1} y = x^3+c$
The general solution of the differential equation $\frac{dy}{dx} = (1+y^2)(e^{-x^2}-2x \tan^{-1} y)$ is:$e^{x^2} \tan^{-1} y = x+c$$e^{-x^2} \tan^y = x+c$$e^x \tan y = x^...
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2 votes
1 answer
21
NIELIT 2018-21
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigen vector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10 \end{bmatrix}$ is $15$ $16$ $17$ $18$
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigen vector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10...
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1 votes
1 answer
22
NIELIT 2018-22
While solving the differential equation $\frac{d^2 y}{dx^2} +4y = \tan 2x$ by the method of variation of parameters, then value of Wronskion (W) is: $1$ $2$ $3$ $4$
While solving the differential equation $\frac{d^2 y}{dx^2} +4y = \tan 2x$ by the method of variation of parameters, then value of Wronskion (W) is:$1$$2$$3$$4$
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2 votes
0 answers
25
NIELIT 2018-25
The general solution of the partial differential equation $(D^2-D’^2-2D+2D’)Z=0$ where $D= \frac{\partial}{\partial x}$ and $D’=\frac{\partial}{\partial y}$: $f(y+x)+e^{2x}g(y-x)$ $e^{2x} f(y+x)+g(y-x)$ $e^{-2x} f(y+x)+g(y-x)$ $f(y+x)+e^{-2x}g(y-x)$
The general solution of the partial differential equation $(D^2-D’^2-2D+2D’)Z=0$ where $D= \frac{\partial}{\partial x}$ and $D’=\frac{\partial}{\partial y}$:$f(y+x)...
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2 votes
0 answers
26
NIELIT 2018-26
If $P(A \cap B) = \frac{1}{2}, \: P(\overline{A} \cap \overline{B}) = \frac{1}{2}$ and $2P(A)=P(B)=p$, then the value of $p$ is given by: $\frac{1}{4}$ $\frac{1}{2}$ $\frac{1}{3}$ $\frac{2}{3}$
If $P(A \cap B) = \frac{1}{2}, \: P(\overline{A} \cap \overline{B}) = \frac{1}{2}$ and $2P(A)=P(B)=p$, then the value of $p$ is given by:$\frac{1}{4}$$\frac{1}{2}$$\frac{...
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2 votes
1 answer
27
NIELIT 2018-27
The following vectors $(1, 9, 9, 8), (2, 0, 0, 8), (2, 0, 0, 3)$ are Linearly dependent Linearly independent Constant None of these
The following vectors $(1, 9, 9, 8), (2, 0, 0, 8), (2, 0, 0, 3)$ areLinearly dependentLinearly independentConstantNone of these
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1 votes
1 answer
28
NIELIT 2018-28
For the function $(z) = \frac{1}{z^2(e^z-1)}, z=0$ is a pole of order: $1$ $2$ $3$ None of these
For the function $(z) = \frac{1}{z^2(e^z-1)}, z=0$ is a pole of order:$1$$2$$3$None of these
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1 votes
1 answer
29
NIELIT 2018-29
Using Green’s theorem in plane, evaluate $\int_c (2x-y) dx + (x+y)dy$, where $c$ is the circle $x^2+y^2=4$ in the plane: $2 \pi$ $4 \pi$ $-4 \pi$ $8 \pi$
Using Green’s theorem in plane, evaluate $\int_c (2x-y) dx + (x+y)dy$, where $c$ is the circle $x^2+y^2=4$ in the plane:$2 \pi$$4 \pi$$-4 \pi$$8 \pi$
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3 votes
1 answer
30
NIELIT 2018-30
If $C$ is a non-singular matrix and $B=C \begin{bmatrix} 0 & x & y \\ 0 & 0 & x \\ 0 & 0 & 0 \end{bmatrix} C^{-1}$ then: $B^2=I$ $B^2 = \text{Null Matrix}$ $B^3=I$ $B^3 = \text{Null Matrix}$
If $C$ is a non-singular matrix and $B=C \begin{bmatrix} 0 & x & y \\ 0 & 0 & x \\ 0 & 0 & 0 \end{bmatrix} C^{-1}$ then:$B^2=I$$B^2 = \text{Null Matrix}$$B^3=I$$B^3 = \te...
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